We'll sort of. What really matters is exit pupil size. Exit pupil = objective diameter / magnification. If the exit pupil is larger than your eye pupil, the image is as bright as it's ever going to get with that scope. If the exit pupil is smaller than the eye pupil, the image has lower brightness by a factor of (exit pupil/eye pupil)squared. This ends up being a bigger effect than the typically small differences in anti-reflection coatings, especially when comparing scopes at a similar price point.
FYI, dark adapted eyes have an exit pupil of about 5 mm (older people) to 8mm (younger people).